LOCALIZED CHAOS AND PARTIAL ASSIGNABILITY OF DYNAMIC CONSTANTS OF MOTION IN THE TRANSITION TO MOLECULAR CHAOS

被引:21
作者
JAFFE, C [1 ]
KELLMAN, ME [1 ]
机构
[1] UNIV OREGON, DEPT CHEM, EUGENE, OR 97403 USA
关键词
D O I
10.1063/1.458207
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
The implications of approximate dynamical constants of motion for statistical analysis of highly excited vibrational spectra are investigated. The existence of approximate dynamical constants is related to localized chaos and partial assignability of a "chaotic spectrum." Approximate dynamical constants are discussed in a dynamical symmetry breaking formulation of the transition from periodic to quasiperiodic motion, and from quasiperiodic to chaotic motion. Level repulsion, leading to a Wigner distribution in the case of a strongly chaotic system, is shown to originate in dynamical symmetry breaking via the noncrossing rule that states of the same symmetry do not cross. It is argued that quantum numbers for dynamical constants must be correctly assigned to detect localized chaos in statistical spectroscopy. Two possible kinds of approximate constants, for a "total polyad number" and a bend normal mode, are discussed in relation to two coupling schemes that could govern the transition to chaos in H2O. © 1990 American Institute of Physics.
引用
收藏
页码:7196 / 7204
页数:9
相关论文
共 66 条
[1]   FLUORESCENCE AND STIMULATED-EMISSION S1-]SO SPECTRA OF ACETYLENE - REGULAR AND ERGODIC REGIONS [J].
ABRAMSON, E ;
FIELD, RW ;
IMRE, D ;
INNES, KK ;
KINSEY, JL .
JOURNAL OF CHEMICAL PHYSICS, 1985, 83 (02) :453-465
[2]   CORRELATION DIAGRAMS FOR RIGID AND NONRIGID 4-BODY SYSTEMS [J].
AMAR, F ;
KELLMAN, ME ;
BERRY, RS .
JOURNAL OF CHEMICAL PHYSICS, 1979, 70 (04) :1973-1985
[3]   DEGENERACY OF THE N-DIMENSIONAL, ISOTROPIC, HARMONIC OSCILLATOR [J].
BAKER, GA .
PHYSICAL REVIEW, 1956, 103 (04) :1119-1120
[4]   On the theory of the hydrogen atom. [J].
Bargmann, V. .
ZEITSCHRIFT FUR PHYSIK, 1936, 99 (7-8) :576-582
[5]   OVERTONE SPECTRUM IN TERMS OF NORMAL OR OF EQUIVALENT MODES WITH APPLICATION TO H2O [J].
BENJAMIN, I ;
LEVINE, RD .
CHEMICAL PHYSICS LETTERS, 1983, 101 (06) :518-523
[6]   EXTENDED CHAOS AND DISAPPEARANCE OF KAM TRAJECTORIES [J].
BENSIMON, D ;
KADANOFF, LP .
PHYSICA D, 1984, 13 (1-2) :82-89
[8]   RANDOM-MATRIX PHYSICS - SPECTRUM AND STRENGTH FLUCTUATIONS [J].
BRODY, TA ;
FLORES, J ;
FRENCH, JB ;
MELLO, PA ;
PANDEY, A ;
WONG, SSM .
REVIEWS OF MODERN PHYSICS, 1981, 53 (03) :385-479
[9]   STIMULATED-EMISSION SPECTROSCOPY OF THE GROUND-STATE OF NA3 [J].
BROYER, M ;
DELACRETAZ, G ;
NI, GQ ;
WHETTEN, RL ;
WOLF, JP ;
WOSTE, L .
JOURNAL OF CHEMICAL PHYSICS, 1989, 90 (08) :4620-4622
[10]   VIBRONIC STRUCTURE OF THE NA3 GROUND-STATE BY STIMULATED-EMISSION SPECTROSCOPY [J].
BROYER, M ;
DELACRETAZ, G ;
NI, GQ ;
WHETTEN, RL ;
WOLF, JP ;
WOSTE, L .
PHYSICAL REVIEW LETTERS, 1989, 62 (18) :2100-2103